253366020 has 72 divisors (see below), whose sum is σ = 771674904. Its totient is φ = 67289088.

The previous prime is 253365967. The next prime is 253366033. The reversal of 253366020 is 20663352.

253366020 is a `hidden beast` number, since 2 + 53 + 3 + 6 + 602 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 186486336 + 66879684 = 13656^2 + 8178^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43522 + ... + 48998.

It is an arithmetic number, because the mean of its divisors is an integer number (10717707).

Almost surely, 2^253366020 is an apocalyptic number.

253366020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253366020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385837452).

253366020 is an abundant number, since it is smaller than the sum of its proper divisors (518308884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253366020 is a wasteful number, since it uses less digits than its factorization.

253366020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5749 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 253366020 is about 15917.4753023210. The cubic root of 253366020 is about 632.7752097459.

The spelling of 253366020 in words is "two hundred fifty-three million, three hundred sixty-six thousand, twenty".